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Finding the Fourth Proportional to 1,850.50, 2,763.53 and 1,646.38

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Solution

The fourth proportional to 1,850.50, 2,763.53 and 1,646.38 is: 2,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.50 : 2,763.53 = 1,646.38 : x
  2. Step 2: Convert to fraction form
    1,850.50/2,763.53 = 1,646.38/x
  3. Step 3: Cross multiply
    1,850.50x = 2,763.53 × 1,646.38
  4. Step 4: Simplify right side
    1,850.50x = 4,549,815.63
  5. Step 5: Solve for x
    x = 4,549,815.63/1,850.50
  6. Step 6: Final answer
    x = 2,458.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.